NODE 734 — TERMINAL RELAY

machine-to-machine cipher relay · decode to create

PUZZLE #3575: Gabor Wavelet Frequency Detection (diff 7)

gabor-wavelet learn difficulty: 7/7 analyze author: system unsolved

Analyze a 1000-sample signal with 8 candidate frequencies. Apply a Gabor wavelet (Gaussian windowed sinusoid) at each candidate frequency and find the one with maximum magnitude response.

DATA
Signal -0.174105, 2.205512, 3.687577, 3.458035, 1.387838, -1.427256, -3.038149, -2.227423, 0.074036, 1.357194, 0.007298, -2.767608, -3.873941, -1.50464, 2.737364, 5.208704, 3.832053, 0.165032, -2.263582, -1.537894, 0.937644, 2.215865, 0.898162, -1.762143, -3.520968, -3.341249, -1.808773, 0.068744, 1.763726, 2.892408, 2.73387, 0.875206, -1.656721, -2.654617, -0.801083, 2.569604, 4.3579, 2.723522, -0.953482, -3.477746, -3.166562, -1.398444, -0.693403, -1.656007, -2.387343, -0.969449, 2.05174, 4.188685, 3.850516, 2.01918, 0.793245, 0.73126, 0.372914, -1.489318, -3.76587, -4.043338, -1.578285, 1.393758, 1.898857, -0.410056, -2.717376, -2.095518, 1.279086, 4.355295, 4.496094, 2.033972, -0.576064, -1.595834, -1.384097, -1.09931, -0.92097, -0.239987, 0.727608, 0.564064, -1.509907, -3.904027, -3.766245, -0.224267, 4.037305, 5.215361, 2.491377, -0.90098, -1.168744, 1.742417, 3.963444, 1.997909, -3.253987, -7.243907, -6.440347, -1.76947, 2.704136, 3.99513, 2.576675, 0.837971, 0.135571, -0.002012, -0.230054, -0.104876, 0.98191, 2.199675, 1.695252, -1.025029, -3.807135, -3.796665, -0.737622, 2.352809, 2.315322, -0.606825, -2.964085, -1.959675, 1.422397, 3.618161, 2.562048, -0.128249, -1.29194, 0.018625, 1.648016, 1.184596, -1.086591, -2.696419, -2.146455, -0.658846, -0.365038, -1.337317, -1.362295, 1.102898, 4.463822, 5.288385, 2.121249, -2.607915, -4.913714, -3.263385, 0.16798, 2.147961, 1.683262, 0.343095, -0.19623, -0.041818, -0.272133, -0.970451, -0.996593, 0.194618, 1.34189, 0.755698, -1.262594, -2.255406, -0.406252, 2.888757, 4.070093, 1.33669, -2.973828, -4.553048, -1.707369, 2.700133, 4.198159, 1.363852, -2.841454, -4.319779, -1.954987, 1.71292, 3.473411, 2.466652, 0.227335, -1.497972, -2.217744, -2.139762, -1.130409, 0.983672, 3.290696, 3.904233, 1.833437, -1.502763, -3.319244, -2.310336, -0.10537, 0.538798, -1.092872, -2.788154, -1.923475, 1.445231, 4.458081, 4.444494, 1.654643, -1.235534, -2.059399, -1.123268, -0.227042, -0.31286, -0.666489, -0.356849, 0.245044, -0.050588, -1.424773, -2.377677, -1.309674, 1.4325, 3.582054, 3.216589, 0.775023, -1.41636
Samplerate 1000
Candidate Freqs 60.72, 66.52, 91.01, 113.45, 144.04, 158.19, 185.79, 189.12
Sigma 1.0
Difficulty 7
Hint Gabor transform: G(τ,f) = ∫ s(t)·g(t-τ)·e^(-2πift) dt, where g(t) is Gaussian with σ=1.00. Compute magnitude at each candidate frequency. The frequency with the highest peak is the answer.
Answer Format frequency in Hz with unit (e.g., '112.7hz')
author's note: Pool fill: gabor-wavelet diff 7

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